1. Introduction to Algebra

2. In arithmetic, we work with expressions such as

3. In arithmetic, we work with expressions such as

4. In arithmetic, we work with expressions such as

5. In arithmetic, we work with expressions such as

6. In arithmetic, we work with expressions such as

7. In algebra, we use both numbers and variables and work with algebraic expressions such as

8. In algebra, we use both numbers and variables and work with algebraic expressions such as

9. In algebra, we use both numbers and variables and work with algebraic expressions such as

10. In algebra, we use both numbers and variables and work with algebraic expressions such as

11. In algebra, we use both numbers and variables and work with algebraic expressions such as

12. When a letter can stand for various numbers, we call the letter a variable.

13. A number or a letter that stands for just one number is called a constant.

14. Let a = your age in years. Then a is a variable since the value of a changes every year.

15. Let b = your date of birth
Let b = your date of birth. Then b is a constant since it does not change.

16. How much higher is Mt. McKinley than Mr. Evans?

17. How much higher is Mt. McKinley than Mr. Evans?
Height of Mt. Evans
How much more
Height of Mt. McKinley
plus is
14, x = ,320

18. This is an equation! How much higher is Mt. McKinley than Mr. Evans?
Height of Mt. Evans
How much more
Height of Mt. McKinley
plus is
14, x = ,320
This is an equation!

19. We can solve this equation.

20. We can solve this equation.

21. We can solve this equation.

22. We can solve this equation.

23. We can solve this equation.

24. An algebraic expression consists of variables, numerals, and operation signs.

25. An algebraic expression consists of variables, numerals, and operation signs. When we replace a variable with a number, we say that we are substituting for the variable.

26. An algebraic expression consists of variables, numerals, and operation signs. When we replace a variable with a number, we say that we are substituting for the variable.
This process is called evaluating the expression.

39. Find the area of a rectangle
when l is 24.5 in. and w is 16 in.

40. Find the area of a rectangle
when l is 24.5 in. and w is 16 in.

41. Find the area of a rectangle when l is 24.5 in. and w is 16 in.

42. Find the area of a rectangle when l is 24.5 in. and w is 16 in.

43. Find the area of a rectangle when l is 24.5 in. and w is 16 in.

44. Find the area of a rectangle when l is 24.5 in. and w is 16 in.

45. Find the area of a rectangle when l is 24.5 in. and w is 16 in.

46. Find the area of a rectangle when l is 24.5 in. and w is 16 in.

47. Find the area of a rectangle when l is 24.5 in. and w is 16 in.

48. Find the area of a rectangle when l is 24.5 in. and w is 16 in.

49. Find the area of a rectangle when l is 24.5 in. and w is 16 in.

50. Find the area of a rectangle when l is 24.5 in. and w is 16 in.

73. Ed takes a trip on his motorcycle
Ed takes a trip on his motorcycle. He wants to travel 660 miles on a particular day.

74. Ed takes a trip on his motorcycle
Ed takes a trip on his motorcycle. He wants to travel 660 miles on a particular day. The time t, in hours, that it takes to travel 660 miles is given by

75. Ed takes a trip on his motorcycle
Ed takes a trip on his motorcycle. He wants to travel 660 miles on a particular day. The time t, in hours, that it takes to travel 660 miles is given by

76. Ed takes a trip on his motorcycle
Ed takes a trip on his motorcycle. He wants to travel 660 miles on a particular day. The time t, in hours, that it takes to travel 660 miles is given by
where r is the speed of Ed’s motorcycle.

77. Ed takes a trip on his motorcycle
Ed takes a trip on his motorcycle. He wants to travel 660 miles on a particular day. The time t, in hours, that it takes to travel 660 miles is given by
where r is the speed of Ed’s motorcycle. Find the time of travel if the speed r is 60 mph.

78. Find the time of travel if the speed r is 60 mph.

79. Find the time of travel if the speed r is 60 mph.

80. Find the time of travel if the speed r is 60 mph.

81. Find the time of travel if the speed r is 60 mph.

82. Find the time of travel if the speed r is 60 mph.

83. Find the time of travel if the speed r is 60 mph.

84. Find the time of travel if the speed r is 60 mph.

85. Translate to an algebraic expression Twice (or two times) some number

86. Translate to an algebraic expression Twice (or two times) some number

87. Translate to an algebraic expression Twice (or two times) some number

88. Translate to an algebraic expression Twice (or two times) some number

89. Translate to an algebraic expression Thirty-eight percent of some number

90. Translate to an algebraic expression Thirty-eight percent of some number

91. Translate to an algebraic expression Thirty-eight percent of some number

92. Translate to an algebraic expression Thirty-eight percent of some number

93. Translate to an algebraic expression Thirty-eight percent of some number

94. Translate to an algebraic expression

95. Translate to an algebraic expression Six less

96. Translate to an algebraic expression Six less than ten

97. Translate to an algebraic expression Six less than ten

98. Translate to an algebraic expression Six less than ten

99. Translate to an algebraic expression Six less than ten

100. Translate to an algebraic expression Six less than ten

101. Translate to an algebraic expression Six less than ten

102. Translate to an algebraic expression Seven less than some number

103. Translate to an algebraic expression Seven less than some number

104. Translate to an algebraic expression Seven less than some number

105. Translate to an algebraic expression Seven less than some number

106. Translate to an algebraic expression Eighteen more than a number

107. Translate to an algebraic expression Eighteen more than a number

108. Translate to an algebraic expression Eighteen more than a number

109. Translate to an algebraic expression A number divided by 5

110. Translate to an algebraic expression A number divided by 5

111. Translate to an algebraic expression A number divided by 5

112. Translate to an algebraic expression Five more than a number

113. Translate to an algebraic expression Five more than a number

114. Translate to an algebraic expression Five more than a number

115. Translate to an algebraic expression Half of a number

116. Translate to an algebraic expression Half of a number

117. Translate to an algebraic expression Half of a number

118. Translate to an algebraic expression Half of a number

119. Translate to an algebraic expression Five more than three times some number

120. Translate to an algebraic expression Five more than three times some number

121. Translate to an algebraic expression Five more than three times some number

122. Translate to an algebraic expression The difference of two numbers

123. Translate to an algebraic expression The difference of two numbers

124. Translate to an algebraic expression The difference of two numbers

125. Translate to an algebraic expression Six less than the product of two numbers

126. Translate to an algebraic expression Six less than the product of two numbers

127. Translate to an algebraic expression Six less than the product of two numbers

128. Translate to an algebraic expression Seventy-six percent of some number

129. Translate to an algebraic expression Seventy-six percent of some number

130. Translate to an algebraic expression Seventy-six percent of some number

131. Translate to an algebraic expression Seventy-six percent of some number

132. Translate to an algebraic expression Seventy-six percent of some number

133. Translate to an algebraic expression Four less than twice some number

134. Translate to an algebraic expression Four less than twice some number

135. Translate to an algebraic expression Four less than twice some number

136. Addition

137. Addition
add

138. Addition
add
added to

139. Addition
add
added to
sum

140. Addition
add
added to
sum
total

141. Addition
add
added to
sum
total
plus

142. Addition
add
added to
sum
total
plus
more than

143. Addition
add
added to
sum
total
plus
more than
increased by

144. Addition
add
added to
sum
total
plus
more than
increased by
perimeter

145. Subtraction

146. Subtraction
subtract

147. Subtraction
subtract
subtracted from

148. Subtraction
subtract
subtracted from
difference

149. Subtraction
subtract
subtracted from
difference
minus

150. Subtraction
subtract
subtracted from
difference
minus
less than

151. Subtraction
subtract
subtracted from
difference
minus
less than
decreased by

152. Subtraction
subtract
subtracted from
difference
minus
less than
decreased by
take away

153. Subtraction
subtract
subtracted from
difference
minus
less than
decreased by
take away
how much more

154. Subtraction
subtract
subtracted from
difference
minus
less than
decreased by
take away
how much more
missing addend

155. Multiply
multiply

156. Multiply
multiply
multiplied by

157. Multiply
multiply
multiplied by
product

158. Multiply
multiply
multiplied by
product
times

159. Multiply
multiply
multiplied by
product
times of

160. Multiply
multiply
multiplied by
product
times of
repeated addition

161. Multiply
multiply
multiplied by
product
times of
repeated addition
rectangular arrays

162. Multiply
multiply
multiplied by
product
times of
repeated addition
rectangular arrays
each

163. Multiply
multiply
multiplied by
product
times of
repeated addition
rectangular arrays
each
per

164. Multiply
multiply
multiplied by
product
times of
repeated addition
rectangular arrays
each
per
area

165. Divide
divide

166. Divide
divide
divided by

167. Divide
divide
divided by
quotient

168. Divide
divide
divided by
quotient
repeated subtraction

169. Divide
divide
divided by
quotient
repeated subtraction
missing factor

170. Divide
divide
divided by
quotient
repeated subtraction
missing factor
finding equal quantities

171. Homework Numbers 1-52 # 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49